90 students auditioned for a play 1/3 of those who auditioned were cast 6 in major roles what fraction of those who were cast got major roles
To find the fraction of those who were cast that got major roles, we need to calculate the fraction of the total number of students who got major roles (6) out of the total number of students who were cast (90/3 = <<6=6>>6).
So, the fraction is 6/6 = <<6/6=1>>1.
To find the fraction of those who were cast and got major roles, we need to determine the number of students who were cast first.
Given that 1/3 of the 90 students who auditioned were cast, we can calculate the number of students who were cast by multiplying 1/3 by 90:
(1/3) * 90 = 90/3 = 30
Therefore, 30 students were cast in the play.
Since 6 of those students got major roles, we can express this fraction as:
6/30
This fraction can be simplified by finding the greatest common divisor (GCD) of 6 and 30, which is 6:
6/30 = (6/6) / (30/6) = 1/5
Hence, the fraction of those who were cast that got major roles is 1/5.
To find the fraction of students who were cast in major roles, you need to determine the total number of students who were cast first.
Given that 1/3 of the 90 students who auditioned were cast, you can calculate the number of students cast by multiplying the total number of students by 1/3:
90 * (1/3) = 90/3 = 30
So, 30 students were cast in total.
To determine the fraction of those who were cast that got major roles, divide the number of students with major roles by the total number of students cast:
6 / 30 = 1/5
Therefore, 1/5 or 1 out of every 5 students who were cast got major roles.